Freedom Unite = much, much upgraded Monster Hunter 2
Tri = Monster Hunter 3
...Tri also has better controls (analog camera!), online play (all the PSP games are ad-hoc only), underwater hunts, a more approachable learning curve and looks a whole lot better imo. MHFU does have quite a bit more content though, and it's portable and you can play locally (Tri only has a nerfed "Coliseum mode" for local play). The games are actually entirely different in terms of content (almost no repeated monsters/weapons/armor/etc), so playing through both is probably worth your while.
Oh, and if anyone is wondering, Monster Hunter Frontier (PC/360) is also based on MH2.







